反应产物形核多步热力学-补充材料
14页1、1SUPPLEMENTARY INFORMATIONEvidence of Multi-step Nucleation Leading to Various Crystallization Pathways from an Fe-O-Al MeltG. C. Wang1,2,3*, Q. Wang1,2*, S. L. Li1,2, X. G. Ai1,2 and C. G. Fan31Key Laboratory of Chemical Metallurgy Engineering, Liaoning Province, University of Science and Technology Liaoning, Anshan, Liaoning, 114051, China2School of Materials and Metallurgy, University of Science and Technology Liaoning, Anshan, 114051, China3Jiangxi University of Science and Technology, Ganzh
2、ou, 341000, China*Corresponding author: Tel.: +86-412-5929573Email address: wang_; . Simulation Methods to Calculate Thermodynamic Properties Using Density Functional TheoryAll the simulations for calculating thermodynamic properties in the present work are performed using density functional theory (DFT) with the molecular orbital theory computational program Dmol3, a module of the commercial software Materials Studio (MS) 6.0. The initial structures are established using the Visualizer module o
3、f MS 6.0. The geometry optimization is performed using the BFGS (the abbreviation corresponds to the first letters of the names of the following researchers: Broyden, Fletcher, Goldfarb, and Shanno) method41 based on a quasi-Newton algorithm. The hybrid density functional BLYP (the abbreviation corresponds to the first letters of the names of the following researchers: Becke, Lee, Yang and Parr) method42, 43 using the generalized gradient approximation (GGA) is used as the exchange- correlation
4、potential function. The thermodynamic properties of various structures are calculated using the atomic harmonic vibrational frequency. The vibrational frequencies are computed by diagonalizing the mass-weighted second-derivative matrix, F42, which is given by(S1) jijiijqqE mmF21where qi and qj represent two Cartesian coordinates of atoms i and j, respectively, and mi and mj are the 2masses of the atoms. The square roots of the eigenvalues of Fij are the vibrational frequencies. The second deriva
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